One of the tasks that forensic scientists face is estimating the age of an unidentified crime victim. Prio to 2010, this was usually done by analyzing teeth and bones, and the resulting estimates were not ven reliable. In a groundbreaking study, scientists examined the relationship between age and a blood tes measure. They recorded age and the blood test measure for 195 people ranging in age from 7 to 80 years. The scientists were interested in predicting age using the blood test measure. The following sample of 15 people will be used in this problem Blood test measure Age -8 19 -6 12 -11 42 -8 22 -13 58 -15 77 -14 70 -6 7 -12 45 -10 37 -9 35 -7 20 -9 28 -13 65 -12 75 1. Which of these two variables is the response variable and which is the predictor variable? 2. Construct a scatterplot of the data. How would you describe the relationship between these two variables? 3. Find the equation of the least squares regression line. 4. Construct a residual plot and comment on any unusual features of the residual plot. (including influential observations and outliers, unusual patterns) 5. Calculate and interpret the value of r2 in context of this study. 6. Explain why it would also be informative to look at the value of s, in addition to the value of r when evaluating the usefulness of the least squares regression line. 7. Calculate and interpret the value of se. 8. Based on your answers to parts 4 to 7, do you think it is appropriate to use the least square regression line to predict the age of a victim using the blood test measure? Explain. 9. Two unidentified crime victims were found. The values of blood test measure are determined e be -10 for the first victim and -4 for the second victim. Predict (if possible) the age of the victims Explain why if not.
One of the tasks that forensic scientists face is estimating the age of an unidentified crime victim. Prio to 2010, this was usually done by analyzing teeth and bones, and the resulting estimates were not ven reliable. In a groundbreaking study, scientists examined the relationship between age and a blood tes measure. They recorded age and the blood test measure for 195 people ranging in age from 7 to 80 years. The scientists were interested in predicting age using the blood test measure. The following sample of 15 people will be used in this problem Blood test measure Age -8 19 -6 12 -11 42 -8 22 -13 58 -15 77 -14 70 -6 7 -12 45 -10 37 -9 35 -7 20 -9 28 -13 65 -12 75 1. Which of these two variables is the response variable and which is the predictor variable? 2. Construct a scatterplot of the data. How would you describe the relationship between these two variables? 3. Find the equation of the least squares regression line. 4. Construct a residual plot and comment on any unusual features of the residual plot. (including influential observations and outliers, unusual patterns) 5. Calculate and interpret the value of r2 in context of this study. 6. Explain why it would also be informative to look at the value of s, in addition to the value of r when evaluating the usefulness of the least squares regression line. 7. Calculate and interpret the value of se. 8. Based on your answers to parts 4 to 7, do you think it is appropriate to use the least square regression line to predict the age of a victim using the blood test measure? Explain. 9. Two unidentified crime victims were found. The values of blood test measure are determined e be -10 for the first victim and -4 for the second victim. Predict (if possible) the age of the victims Explain why if not.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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From part 4 to 6
Transcribed Image Text:One of the tasks that forensic scientists face is estimating the age of an unidentified crime victim. Prior
to 2010, this was usually done by analyzing teeth and bones, and the resulting estimates were not very
reliable. In a groundbreaking study, scientists examined the relationship between age and a blood test
measure. They recorded age and the blood test measure for 195 people ranging in age from 7 to 80
years. The scientists were interested in predicting age using the blood test measure.
The following sample of 15 people will be used in this problem
Blood test measure
Age
-8
19
-6
12
-11
42
-8
22
-13
58
-15
77
-14
70
-6
7
-12
45
-10
37
-9
35
-7
20
-9
28
-13
65
-12
75
1. Which of these two variables is the response variable and which is the predictor variable?
2. Construct a scatterplot of the data. How would you describe the relationship between these two
variables?
3. Find the equation of the least squares regression line.
4. Construct a residual plot and comment on any unusual features of the residual plot. (including
influential observations and outliers, unusual patterns)
5. Calculate and interpret the value of r2 in context of this study.
6. Explain why it would also be informative to look at the value of sę in addition to the value of r?
when evaluating the usefulness of the least squares regression line.
7. Calculate and interpret the value of se.
8. Based on your answers to parts 4 to 7, do you think it is appropriate to use the least squares
regression line to predict the age of a victim using the blood test measure? Explain.
9. Two unidentified crime victims were found. The values of blood test measure are determined to
be -10 for the first victim and -4 for the second victim. Predict (if possible) the age of the victims.
Explain why if not.
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